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Finding the Fourth Proportional to 920.30, 1,371.71 and 850.07

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Solution

The fourth proportional to 920.30, 1,371.71 and 850.07 is: 1,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.30 : 1,371.71 = 850.07 : x
  2. Step 2: Convert to fraction form
    920.30/1,371.71 = 850.07/x
  3. Step 3: Cross multiply
    920.30x = 1,371.71 × 850.07
  4. Step 4: Simplify right side
    920.30x = 1,166,055.07
  5. Step 5: Solve for x
    x = 1,166,055.07/920.30
  6. Step 6: Final answer
    x = 1,267.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.